OAI/Analysis/KadisonKastler/RealNestDistanceConstruction.lean

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The required real-nest distance theorem

Arveson's distance formula is proved here in the precise approximation form used by the application. Finite contractive block completions and weak operator compactness supply a correction with norm at most the nest defect. No nest-distance theorem is assumed.

  1. theorem OAI.KadisonKastler.publishedRealNestDistance line 20